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Date May Example question Marks available 3 Reference code EXM.1.AHL.TZ0.35
Level Additional Higher Level Paper Paper 1 Time zone Time zone 0
Command term Hence and Find Question number 35 Adapted from N/A

Question

Write down the inverse of the matrix

A(131221153)

[2]
a.

Hence, find the point of intersection of the three planes.

x3y+z=12x+2yz=2x5y+3z=3

[3]
b.

A fourth plane with equation x+y+z=d passes through the point of intersection. Find the value of d.

[1]
c.

Markscheme

A–1 = (0.10.40.10.70.20.31.20.20.8)       A2  N2

[2 marks]

a.

For attempting to calculate (xyz) = A−1(123)      M1

x=1.2,y=0.6,z=1.6 (so the point is (1.2, 0.6, 1.6))       A2   N2

[3 marks]

b.

(1.2, 0.6, 1.6) lies on x+y+z=d

d=3.4       A1   N1

[1 mark]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 1—Number and algebra » AHL 1.14—Introduction to matrices
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Topic 1—Number and algebra

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